22102012122210 has 192 divisors, whose sum is σ = 61238456158464. Its totient is φ = 5511464448000.

The previous prime is 22102012122139. The next prime is 22102012122217. The reversal of 22102012122210 is 1222121020122.

It is a happy number.

22102012122210 is a `hidden beast` number, since 2 + 210 + 20 + 1 + 212 + 221 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (22102012122217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 149111635 + ... + 149259785.

It is an arithmetic number, because the mean of its divisors is an integer number (318950292492).

Almost surely, 2^{22102012122210} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22102012122210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30619228079232).

22102012122210 is an abundant number, since it is smaller than the sum of its proper divisors (39136444036254).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22102012122210 is a wasteful number, since it uses less digits than its factorization.

22102012122210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148809 (or 148806 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22102012122210 its reverse (1222121020122), we get a palindrome (23324133142332).

The spelling of 22102012122210 in words is "twenty-two trillion, one hundred two billion, twelve million, one hundred twenty-two thousand, two hundred ten".